CREATING NEW MATHEMATICS BY SCHOOLCHILDREN

Author:

Semenov A. L.123,Soprunov S. F.4,Ivanov-Pogodaev I. A.2

Affiliation:

1. Lomonosov Moscow State University

2. Moscow Institute of Physics and Technology

3. Scientific and Educational Mathematical Center of the Volga Federal District, Lobachevsky Institute of Mathematics and Mechanics

4. Center of Pedagogical Excellence of the Department of Education and Science of

Abstract

The paper discusses an example of an educational project of modern mathematics, the educational process of which is based on the creation by students of new mathematics for them. In the example under consideration, the mathematical results obtained as a result of the work of students in the field of the theory of definability also have an “absolute” novelty and are the basis for professional publications. The described course was built the basis of the latest results of the authors of this article in the theory of definability. The new results were obtained by a group of 10 schoolchildren from different regions of Russia.

Publisher

The Russian Academy of Sciences

Reference19 articles.

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2. Halmos P.R. A Hilbert Space Problem Book. Springer New York, NY, 1982. 373 p. https://doi.org/10.1007/978-1-4684-9330-6

3. Journal of Inquiry-Based Learning in Mathematics // URL: https://jiblm.org/ (дата обращения 25 января 2023 г.).

4. Арлазаров В.Л., Белов А.Я., Бугаенко В.О., Васильев В.А., Городенцев А.Л., Дориченко С.А., Ильяшенко Ю.С., Имайкин В.М., Комаров С.И., Кушниренко А.Г., Лысов Ю.П., Семенов А.Л., Тихомиров В.М., Толпыго А.К., Хованский А.Г., Якушкин П.А., Ященко И.В. Николай Николаевич Константинов (некролог) // Успехи математических наук. 2022. Т. 77. Вып. 3(465). С. 346–355. https://doi.org/10.4213/rm10052

5. Константинов Н.Н., Семенов А.Л. Результативное образование в математической школе // Чебышевский сборник. 2021. Т. XXII. Вып. 1(77). С. 413–446. https://doi.org/10.22405/2226-8383-2021-22-1-413-446

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